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Finding the Fourth Proportional to 913.39, 1,261.11 and 598.71

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Solution

The fourth proportional to 913.39, 1,261.11 and 598.71 is: 826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.39 : 1,261.11 = 598.71 : x
  2. Step 2: Convert to fraction form
    913.39/1,261.11 = 598.71/x
  3. Step 3: Cross multiply
    913.39x = 1,261.11 × 598.71
  4. Step 4: Simplify right side
    913.39x = 755,039.17
  5. Step 5: Solve for x
    x = 755,039.17/913.39
  6. Step 6: Final answer
    x = 826.63

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.